Here’s an excellent staging of Borodin’s Dances, from his Opera Prince Igor:
Here’s the summary from the YouTube page:
Mikhail Fokine’s choreography for the Polovtsian Dances by Borodin, as performed by the Kirov Opera and Ballet under Valery Gergiev. From PRINCE IGOR, available on DVD from Philips.
A basic sketch of Prince Igor the Opera can be found at this wiki page. You can also find the full text of the epic poem on which the opera is based (Слово о плъку Игоревѣ: The Lay of Igor’s Campaign or On Igor’s Campaign) here.